λ
Integer Codex

8,003,779

7 × 229 × 4993
Deficient Odd Composite

For 8,003,779, the 8 positive divisors have a total of 9,188,960. Removing 8,003,779 leaves 1,185,181, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 229 × 4993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,188,960
Proper Divisor Sum 1,185,181
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8003777 ← → #8003813

Radix Representation

Decimal 8003779
Binary 11110100010000011000011 (23 bits)
Octal 0o36420303
Hexadecimal 0x7A20C3

Divisor Catalog (8)

1 7 229 1,603 4,993 34,951 1,143,397 8,003,779

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,003,779 24,011,338 12,005,669 36,017,008 18,008,504 9,004,252 4,502,126 2,251,063 6,753,190 3,376,595 10,129,786 5,064,893 15,194,680 7,597,340 3,798,670 1,899,335 5,698,006 2,849,003 8,547,010 4,273,505 12,820,516 6,410,258 3,205,129 9,615,388 4,807,694 2,403,847 7,211,542 3,605,771 10,817,314 5,408,657 16,225,972 8,112,986 4,056,493 12,169,480 6,084,740 3,042,370 1,521,185 4,563,556 2,281,778 1,140,889 3,422,668 1,711,334 855,667 2,567,002 1,283,501 3,850,504 1,925,252 962,626 481,313 1,443,940 721,970 360,985 1,082,956 541,478 270,739 812,218 406,109 1,218,328 609,164 304,582

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